Rundle模式地震滞后环和突变现象研究
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摘要
基于耗散结构理论详细研究了地震活动的主要特征 .研究结果表明 ,地震活动呈现双稳态及尖拐突变现象 .主要表现是 :发生在应力场临界值区间 [-pc,pc]内的滞后环现象和发生在临界值pc 和 -pc 处的突变现象 ,前者对应系统应变能积累过程 ,后者 (即强震过程 )是该系统能量的主要耗散机制
On the basis of the theory for dissipative structure,the main characteristics of Rundle model earthquake are studied in detail.It is found that the double stable states and the cusp catastrophe are shown in the process of fault dislocation for Rundle model.There are the hysteresis loop of fault dislocation,as the external stress changes between the critical values p c and - p c,and catastrophes occurred at the critical values p c and - p c.The former corresponds to the accumulation of strain energy of the system, and the latter (i.e., strong earthquakes) is the main mechanism for energy dissipation of the system.
On the basis of the theory for dissipative structure,the main characteristics of Rundle model earthquake are studied in detail.It is found that the double stable states and the cusp catastrophe are shown in the process of fault dislocation for Rundle model.There are the hysteresis loop of fault dislocation,as the external stress changes between the critical values p c and - p c,and catastrophes occurred at the critical values p c and - p c.The former corresponds to the accumulation of strain energy of the system, and the latter (i.e., strong earthquakes) is the main mechanism for energy dissipation of the system.
引文
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[4] 李丁一.Rundle模式地震的爆发判据[J].地球物理学报,1998,41(3):432—436.
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[8] 李丁一.Rundle模式地震释放的能量及其标度关系[J].中国地震,1999,15(3):278—283
[2] LiDY ,etal.Normalandanomalousexplosionmechanismsfornonlinearinstabilitiesinthreewavecoupling[J].JPlasmaPhys,1997,57(4):861—873.
[3] 李丁一.Rundle模式地震的分叉结构及其爆发判据[J].西北地震学报,1998,20(1):9—13.
[4] 李丁一.Rundle模式地震的爆发判据[J].地球物理学报,1998,41(3):432—436.
[5] 尼科里斯,普利高津.探索复杂性[M].罗久里,陈奎宁译.成都:四川教育出版社,1986.
[6] 刘式达,刘式适.非线性动力学和复杂现象[M].北京:气象出版社,1989.
[7] 李丁一,奚文湘.Weierstrass函数在分歧点(J=27)附近的分叉特性[J].华东船舶工业学院学报,1995,9(3):21.
[8] 李丁一.Rundle模式地震释放的能量及其标度关系[J].中国地震,1999,15(3):278—283
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